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Finding the Fourth Proportional to 431.52, 595.47 and 245.00

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Solution

The fourth proportional to 431.52, 595.47 and 245.00 is: 338.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.52 : 595.47 = 245.00 : x
  2. Step 2: Convert to fraction form
    431.52/595.47 = 245.00/x
  3. Step 3: Cross multiply
    431.52x = 595.47 × 245.00
  4. Step 4: Simplify right side
    431.52x = 145,887.17
  5. Step 5: Solve for x
    x = 145,887.17/431.52
  6. Step 6: Final answer
    x = 338.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.